scholarly journals Investigation of the properties of a quasi-gas-dynamic system of equations based on the solution of the Riemann problem for a mixture of gases

2021 ◽  
pp. 1-12
Author(s):  
Ismatolo Ramazanovich Khaytaliev ◽  
Evgeny Vladimirovich Shilnikov
Keyword(s):  
Dynamic System ◽  
Riemann Problem ◽  
Gas Dynamics ◽  
Contact Discontinuity ◽  
System Of Equations ◽  
Gas Dynamics Equations ◽  
Gas Dynamic ◽  
Volume Method ◽  
Different Gases ◽  
Accuracy And Stability

The accuracy and stability of an explicit numerical algorithm for modeling the flows of a mixture of compressible gases in the transonic regime are investigated by the example of solving the Riemann problem on the decay of a gas-dynamic discontinuity between different gases. The algorithm is constructed using the finite volume method based on the regularized gas dynamics equations for a mixture of gases. A method for suppressing nonphysical oscillations occurring behind the contact discontinuity is found.

scholarly journals The two-dimensional Riemann problem for isentropic Chaplygin gas dynamic system$^*$

2010 ◽  
Vol 9 (2) ◽  
pp. 431-458 ◽  
Author(s):  
Lihui Guo ◽  
◽  
Wancheng Sheng ◽  
Tong Zhang ◽  
◽  
...  
Keyword(s):  
Dynamic System ◽  
Riemann Problem ◽  
Chaplygin Gas ◽  
Two Dimensional ◽  
Gas Dynamic

scholarly journals The high hall ventilation with the simplified simulation of the fan

2018 ◽  
Vol 180 ◽  
pp. 02051
Author(s):  
Martin Kyncl ◽  
Jaroslav Pelant
Keyword(s):  
Numerical Simulation ◽  
Gravitational Field ◽  
Boundary Conditions ◽  
Finite Volume Method ◽  
Riemann Problem ◽  
Finite Volume ◽  
Unstructured Meshes ◽  
System Of Equations ◽  
Computational Results ◽  
Volume Method

Here we work with the system of equations describing the non-stationary compressible turbulent multi-component flow in the gravitational field. We focus on the numerical simulation of the fan situated inside the high hall. The RANS equations are discretized with the use of the finite volume method. The original modification of the Riemann problem and its solution is used at the boundaries. The combination of specific boundary conditions is used for the simulation of the fan. The presented computational results are computed with own-developed code (C, FORTRAN, multiprocessor, unstructured meshes in general).

Numerical Simulation of a Heat Flux Around a Ballistic Model Using a Hyperbolic Quasi-Gas Dynamic System of Equations

2021 ◽  
Vol 13 (5) ◽  
pp. 844-852
Author(s):  
B. N. Chetverushkin ◽  
V. E. Borisov ◽  
A. A. Davydov ◽  
A. E. Lutsky ◽  
Ya. V. Khankhasaeva
Keyword(s):  
Numerical Simulation ◽  
Heat Flux ◽  
Dynamic System ◽  
System Of Equations ◽  
Gas Dynamic ◽  
Ballistic Model

scholarly journals Invariant submodel of rank 1 and two families of exact solutions of gas dynamics equations with an equation of state of the special form

2021 ◽  
Vol 2099 (1) ◽  
pp. 012017
Author(s):  
D Siraeva
Keyword(s):  
Equation Of State ◽  
Exact Solutions ◽  
Special Form ◽  
Gas Dynamics ◽  
Three Dimensional ◽  
Inhomogeneous Deformation ◽  
System Of Equations ◽  
Gas Dynamics Equations ◽  
Linear Velocity Field ◽  
Invariant Submodel

Abstract In this article, the gas dynamics equations with an equation of state of the special form are considered.The equation of state is the pressure which is equal to the sum of two functions, with one being a function of a density, and the other one being a function of an entropy. The system of equations is invariant under the action of 12-parameter transformations group. For three-dimensional subalgebra 3.32 of the 12-dimensional Lie algebra invariants are calculated, an invariant submodel of rank 1 is constructed, and two families of exact solutions are obtained. The obtained solutions specify the motion of particles in space with a linear velocity field with inhomogeneous deformation. The first family of solutions has two moments of time of particles collapse. The second family of solutions has one moment of time of particles collapse on the plane. In the simplest case of second family of solutions, a surface consisting of particle trajectories is constructed.

Reduction of partially invariant submodels of rank 3 defect 1 to invariant submodels

2018 ◽  
Vol 13 (3) ◽  
pp. 59-63 ◽  
Author(s):  
D.T. Siraeva
Keyword(s):  
Equation Of State ◽  
Lie Algebra ◽  
Lie Algebras ◽  
Gas Dynamics ◽  
Hydrodynamic Type ◽  
System Of Equations ◽  
Two Dimensional ◽  
Equations Of Gas Dynamics ◽  
Entropy Functions

Equations of hydrodynamic type with the equation of state in the form of pressure separated into a sum of density and entropy functions are considered. Such a system of equations admits a twelve-dimensional Lie algebra. In the case of the equation of state of the general form, the equations of gas dynamics admit an eleven-dimensional Lie algebra. For both Lie algebras the optimal systems of non-similar subalgebras are constructed. In this paper two partially invariant submodels of rank 3 defect 1 are constructed for two-dimensional subalgebras of the twelve-dimensional Lie algebra. The reduction of the constructed submodels to invariant submodels of eleven-dimensional and twelve-dimensional Lie algebras is proved.

Systematization of relaxation gas dynamics equations. A review

2010 ◽  
Vol 45 (4) ◽  
pp. 517-536
Author(s):  
V. S. Galkin ◽  
S. A. Losev
Keyword(s):  
Gas Dynamics ◽  
Gas Dynamics Equations
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